<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Natural-Deduction on Aayush Bajaj's Augmenting Infrastructure</title><link>https://abaj.ai/tags/natural-deduction/</link><description>Recent content in Natural-Deduction on Aayush Bajaj's Augmenting Infrastructure</description><generator>Hugo</generator><language>en</language><copyright>© 2026 Aayush Bajaj</copyright><lastBuildDate>Thu, 09 Jul 2026 21:02:04 +1000</lastBuildDate><atom:link href="https://abaj.ai/tags/natural-deduction/index.xml" rel="self" type="application/rss+xml"/><item><title>Logic</title><link>https://abaj.ai/wiki/mathematics/discrete/logic/</link><pubDate>Thu, 09 Jul 2026 21:02:56 +1000</pubDate><guid>https://abaj.ai/wiki/mathematics/discrete/logic/</guid><description>&lt;p>logic is the study of valid inference: which conclusions are forced by which premises, independent of what the premises are about.&lt;span class="margin-note" data-note="mathematics runs on logic the way programs run on a cpu — invisibly, until something segfaults">
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it splits cleanly into a &lt;strong>syntax&lt;/strong> (formulas, and rules for pushing them around) and a &lt;strong>semantics&lt;/strong> (truth assignments, models), and the deepest theorems in the subject are exactly the ones that say when the two agree (Epp, Susanna S., 2019).&lt;/p></description></item></channel></rss>